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114394886220 = 2235313474212
BaseRepresentation
bin110101010001001110…
…1110111000001001100
3101221021101011022212210
41222202131313001030
53333240042324340
6124315143230420
711156545326546
oct1524235670114
9357241138783
10114394886220
1144572a2718a
121a206748410
13aa30b8c3b4
145772b6a696
152e97d71180
hex1aa277704c

114394886220 has 144 divisors (see below), whose sum is σ = 332380468224. Its totient is φ = 29366265600.

The previous prime is 114394886209. The next prime is 114394886311. The reversal of 114394886220 is 22688493411.

It is a self number, because there is not a number n which added to its sum of digits gives 114394886220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271721610 + ... + 271722030.

It is an arithmetic number, because the mean of its divisors is an integer number (2308197696).

Almost surely, 2114394886220 is an apocalyptic number.

114394886220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114394886220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166190234112).

114394886220 is an abundant number, since it is smaller than the sum of its proper divisors (217985582004).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114394886220 is a wasteful number, since it uses less digits than its factorization.

114394886220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 114394886220 in words is "one hundred fourteen billion, three hundred ninety-four million, eight hundred eighty-six thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 347 372 421 465 620 694 842 930 1041 1263 1388 1684 1735 1860 2082 2105 2526 3470 4164 4210 5052 5205 6315 6940 8420 10410 10757 12630 13051 20820 21514 25260 26102 32271 39153 43028 52204 53785 64542 65255 78306 107570 129084 130510 146087 156612 161355 177241 195765 215140 261020 292174 322710 354482 391530 438261 531723 584348 645420 708964 730435 783060 876522 886205 1063446 1460870 1753044 1772410 2126892 2191305 2658615 2921740 3544820 4382610 4528697 5317230 5494471 8765220 9057394 10634460 10988942 13586091 16483413 18114788 21977884 22643485 27172182 27472355 32966826 45286970 54344364 54944710 61502627 65933652 67930455 82417065 90573940 109889420 123005254 135860910 164834130 184507881 246010508 271721820 307513135 329668260 369015762 615026270 738031524 922539405 1230052540 1845078810 1906581437 3690157620 3813162874 5719744311 7626325748 9532907185 11439488622 19065814370 22878977244 28598721555 38131628740 57197443110 114394886220